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Differential EquationsSuperchallengeExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Superchallenge problem

In the parameter plane (r,h)(r, h), consider y′=h+ry−y3y' = h + ry - y^3. Find the area of the set of points with 0≤r≤30 \le r \le 3 for which the equation has three distinct equilibria.